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20040330 = 2354761233
BaseRepresentation
bin100110001110…
…0101010001010
31101201011011110
41030130222022
520112242310
61553311150
7332224422
oct114345212
941634143
1020040330
1110348662
1268654b6
1341c88ab
142939482
151b5cd20
hex131ca8a

20040330 has 64 divisors (see below), whose sum is σ = 50139648. Its totient is φ = 5122560.

The previous prime is 20040329. The next prime is 20040359. The reversal of 20040330 is 3304002.

It is a super-2 number, since 2×200403302 = 803229653017800, which contains 22 as substring.

It is a zygodrome in base 7.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85894 + ... + 86126.

It is an arithmetic number, because the mean of its divisors is an integer number (783432).

Almost surely, 220040330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20040330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25069824).

20040330 is an abundant number, since it is smaller than the sum of its proper divisors (30099318).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20040330 is a wasteful number, since it uses less digits than its factorization.

20040330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351.

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 20040330 is about 4476.6427152499. The cubic root of 20040330 is about 271.6240932613.

Adding to 20040330 its reverse (3304002), we get a palindrome (23344332).

The spelling of 20040330 in words is "twenty million, forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 61 94 122 141 183 233 235 282 305 366 466 470 610 699 705 915 1165 1398 1410 1830 2330 2867 3495 5734 6990 8601 10951 14213 14335 17202 21902 28426 28670 32853 42639 43005 54755 65706 71065 85278 86010 109510 142130 164265 213195 328530 426390 668011 1336022 2004033 3340055 4008066 6680110 10020165 20040330